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138889200 = 24352115741
BaseRepresentation
bin10000100011101…
…00011111110000
3100200100022011110
420101310133300
5241023423300
621440513320
73304352532
oct1021643760
9320308143
10138889200
117144356a
123a61b840
1322a0b878
1414635852
15c2d7550
hex84747f0

138889200 has 60 divisors (see below), whose sum is σ = 444912248. Its totient is φ = 37036800.

The previous prime is 138889199. The next prime is 138889229. The reversal of 138889200 is 2988831.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56671 + ... + 59070.

Almost surely, 2138889200 is an apocalyptic number.

138889200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138889200 is an abundant number, since it is smaller than the sum of its proper divisors (306023048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138889200 is a wasteful number, since it uses less digits than its factorization.

138889200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115762 (or 115751 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 138889200 is about 11785.1262190950. The cubic root of 138889200 is about 517.8724710032.

The spelling of 138889200 in words is "one hundred thirty-eight million, eight hundred eighty-nine thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 115741 231482 347223 462964 578705 694446 925928 1157410 1388892 1736115 1851856 2314820 2777784 2893525 3472230 4629640 5555568 5787050 6944460 8680575 9259280 11574100 13888920 17361150 23148200 27777840 34722300 46296400 69444600 138889200